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Suppose you have 2 identical-looking coins: one that is fair and one that comes up heads 75% of the time. You flip one coin 3 times and it comes up as H-H-T. What is the chance that the coin you picked is the fair one?
Imagine two congruent circles that intersect at exactly two points A and B. One of the circles has a center C. What is the measure of angle ACB such that the area of the intersection between the two circles is equal to the area of one circle minus the area of intersection?